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Is this correct?

  1. May 17, 2007 #1
    Is this correct??

    The rate r at which people become ill with the flu at time t days after
    an epidemic begins is given by r = 1000 t e−t/20 people per day. How many
    people become ill with the flu during the first 10 days of this epidemic?

    take the integral from 0 to 10 of (1000t e^(-t/20)) and then plug in 10 and 0. Then subtract.. getting

  2. jcsd
  3. May 17, 2007 #2


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    Yes, assuming the information given is what you have said, that's correct. (More correctly,since the function you give is continuous while the number of people is discrete, its the "best approximation".)
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